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Finding the Third Proportional to 17,732,142 and 38,293,452

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Solution

The third proportional to 17,732,142 and 38,293,452 is: 82,696,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732,142 : 38,293,452 = 38,293,452 : x
  2. Step 2: Convert to fraction form
    17,732,142/38,293,452 = 38,293,452/x
  3. Step 3: Cross multiply
    17,732,142x = 38,293,452 × 38,293,452
  4. Step 4: Simplify right side
    17,732,142x = 1,466,388,466,076,304
  5. Step 5: Solve for x
    x = 1,466,388,466,076,304/17,732,142
  6. Step 6: Final answer
    x = 82,696,634.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.